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Finding the Fourth Proportional to 254,837.70, 382,256.55 and 77,344.43

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Solution

The fourth proportional to 254,837.70, 382,256.55 and 77,344.43 is: 116,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,837.70 : 382,256.55 = 77,344.43 : x
  2. Step 2: Convert to fraction form
    254,837.70/382,256.55 = 77,344.43/x
  3. Step 3: Cross multiply
    254,837.70x = 382,256.55 × 77,344.43
  4. Step 4: Simplify right side
    254,837.70x = 29,565,413,062.23
  5. Step 5: Solve for x
    x = 29,565,413,062.23/254,837.70
  6. Step 6: Final answer
    x = 116,016.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.